Abstract
We study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and intrinsic zero-mean quantities. We also state an equipartition of energy principle for oscillatory systems.
Original language | English |
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Pages (from-to) | 173-200 |
Number of pages | 28 |
Journal | Mathematics of Control Signals and Systems |
Volume | 17 |
Issue number | 3 |
DOIs | |
Publication status | Published - Aug 2005 |
Keywords
- linear oscillatory systems
- two-variable polynomial matrices
- quadratic differential forms
- behavioral system theory
- equipartition of energy
- DIFFERENTIAL FORMS
- INTERCONNECTED SYSTEMS